Jun 17, 2019   8:39 p.m. Adolf

# Course syllabus I1-MMNB - Mathematical methods in building design (FCE - WS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: I1-MMNB
Course unit title: Mathematical methods in building design
Mode of delivery, planned learning activities and teaching methods:
 lecture 1 hour weekly (on-site method) seminar 3 hours weekly (on-site method)

Credits allocated: 4

Recommended semester/trimester: Building Constructions and Design - master (compulsory), 1. semester
Level of study: 2.
Prerequisites for registration: none

Assesment methods:
1 successfull test during the semester, correct all homeworks, at least 50% points from exam

Learning outcomes of the course unit:
Student will gain the essential knowledge concerning the mathematical modeling
describing the particular building physics phenomena, which arise while
building designing. The mathematical models of thermal engineering, mechanics
and fluid dynamics are governed by partial differential equations accomplished
by corresponding boundary conditions. That is why the adequate attention is
devoted to the appropriate mathematical background (differential equations and
boundary conditions types, vector analysis, etc.). The other substantial aim
of this subject is the computing, that is preceded by the acquainting with a
finite element software tool and gaining the required skills within.

Course contents:
- Thermal properties of the buildings and materials, heat equation and its
modifications, deriving of the heat equation from the energy balance and
- Boundary conditions accomplishing mathematical model of the thermal
engineering, boundary conditions types; one-dimensional and multi-dimensional
- Vector analysis
- Elementary elasticity equations, derivation for 1D, integral relations for
the stress and strain
- The baseline of the fluid dynamics, inner and outer fluid flow
- Simple nonlinear tasks, material properties dependant on the temperature,
enthalpy, phase change in the heat equation
The exercises are devoted to the computer implementation, the software skills
acquiring being emphasized.

Basic:
 MINÁROVÁ, M. Príklady inžinierskej praxe s implementáciou v programe ANSYS. Bratislava : Nakladateľstvo STU, 2013. 118 p. ISBN 978-80-227-4047-0. MÍKA, S. -- KUFNER, A. Okrajové úlohy pro obyčejné diferenciální rovnice. Praha : SNTL, 1983. 92 p.

Language of instruction: slovak and english

Notes:
the basics from English in computer sciences is desirable

Courses evaluation:
Assessed students in total: 462

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Name of lecturer(s): prof. RNDr. Radko Mesiar, DrSc. (person responsible for course) - slovak
doc. RNDr. Mária Minárová, PhD. (examiner, instructor, lecturer, tutor) - slovak
Ing. Mgr. Lukáš Tomek, PhD. (examiner, instructor) - slovak

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Radko Mesiar, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 02/28/2019.

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